127872000 has 352 divisors, whose sum is σ = 485384640. Its totient is φ = 33177600.

The previous prime is 127871999. The next prime is 127872023. The reversal of 127872000 is 278721.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3455982 + ... + 3456018.

Almost surely, 2^127872000 is an apocalyptic number.

127872000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242692320).

127872000 is an abundant number, since it is smaller than the sum of its proper divisors (357512640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

127872000 is an equidigital number, since it uses as much as digits as its factorization.

127872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 127872000 is about 11308.0502298142. The cubic root of 127872000 is about 503.8003744570.

The spelling of 127872000 in words is "one hundred twenty-seven million, eight hundred seventy-two thousand".